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Finding the Third Proportional to 299,278.50 and 419,941.50

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Solution

The third proportional to 299,278.50 and 419,941.50 is: 589,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,278.50 : 419,941.50 = 419,941.50 : x
  2. Step 2: Convert to fraction form
    299,278.50/419,941.50 = 419,941.50/x
  3. Step 3: Cross multiply
    299,278.50x = 419,941.50 × 419,941.50
  4. Step 4: Simplify right side
    299,278.50x = 176,350,863,422.25
  5. Step 5: Solve for x
    x = 176,350,863,422.25/299,278.50
  6. Step 6: Final answer
    x = 589,253.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.